Given that f(x) = x^2– 5x– 36 and g(x) = x + 4, find (f +9)(x) and express
the result in standard form.

Answers

Answer 1

Answer:

x^2 -4x-32

Step-by-step explanation:

f(x) = x^2– 5x– 36

g(x) = x + 4

(f +g)(x) = x^2– 5x– 36  +  x + 4

Combine like terms

            = x^2 -4x-32

Answer 2

Answer:

[tex] \longmapsto \: f(x) = {x}^{2} - 5x - 36 \\ \longmapsto \: g(x) = x + 4 \\ \longmapsto(f + g)(x) \\ = f(x) + g(x) \\ = ( {x}^{2} - 5x - 36) + (x + 4) \\ = {x}^{2} - 5x - 36 + x + 4 \\ = \boxed{ {x}^{2} - 4x - 32}[/tex]

x²-4x-32 (in standard form) is the right answer.

Related Questions

14 over 15 rounded to the nearest tenth

Answers

Answer:

0.9

Step-by-step explanation:

14/15 = 0.933333333  IF:

1. You first change it into a decimal by dividing the numerator by the denominator.

       14 ÷ 15

2. You will get a recurring decimal.

     0.933333333

3. The first digit after the decimal is in the position of the 'tenths'

      0.9

4. You should use only two digits after the decimal to calculate

      0.93

5. Since the number 3 is less than five, it will change into a zero and get eliminated.

            ∴ The answer will be = 0.9

CAN SOMEONE PLEASE HELP ASAP

Answers

9514 1404 393

Answer:

  D.  5

Step-by-step explanation:

The discontinuities in the tangent function are found where the argument matches π/2 +nπ for some integer n. If x has the range [0, 4], then x² has the range [0, 16]. We're looking for the number of values of n that satisfy ...

  0 ≤ π/2 +nπ ≤ 16

Dividing by π gives ...

  0 ≤ 1/2 +n ≤ 16/π

Subtracting 1/2, we have ...

  -1/2 ≤ n ≤ 4.59...

The integer values of n in this range are {0, 1, 2, 3, 4}. There are 5 of them, hence ...

  5 discontinuities in the interval

A race car averages 3 1/4 miles per minute how far will this race car travel in 1 hour

Answers

Answer:

195 miles

Step-by-step explanation:

take 3.25 times 60, because there are 60 minutes in an hour

What is 11/12 divided by 1/3 PLEASE HURRY

Answers

Answer:

11/4 or 2 3/4

1.5 plss help, will give brianlist

Answers

The last one ……,,,.,………………

At what rate (mph) must you travel to go 1,112 miles in 26 hours? Round your answer to the nearest whole number.

Answers

Answer:

42.7mph (can round it to 43mph)

Step-by-step explanation:

since you have distance and time to find the speed you can just divide the distance 1112 with the time 26 and you will get the speed.

51 decreased by twice Jose's height
use the variable j to represent Jose's height.

Answers

Step-by-step explanation:

51 - 2j

maybe something is missing here, but that is the representation of what you wrote.

solve pls brainliest

Answers

Answer:

a) (x + 1780)

b) -12

Step-by-step explanation:

The car corporation produced more cars this month than the month before (indicated by x). A signed number is that which indicates whether or not there has been an increase/decrease also known as negative or positive, thus the final answer is +1780

The same step applies to fahrenheit.  

Help me work this out please (non calculator)

Answers

Answer:

[tex] - 45.5[/tex]

Step-by-step explanation:

Given that,

[tex]a = 7 \\ b = 2[/tex]

Question :

[tex] \frac{a}{b} - {a}^{b} [/tex]

Let us solve

[tex] \frac{a}{b} - {a}^{b} \\ \frac{7}{2} - {7}^{2} \\ 3.5 - 49 \\ = - 45.5[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Step-by-step explanation:

= [tex]\frac{7}{2}-7^{2}[/tex]

= [tex]\frac{7}{2}-49[/tex]

= [tex]\frac{7}{2} -\frac{98}{2}[/tex]

= [tex]\frac{-91}{2}[/tex] Or - 45.5

please give me a brainliest answer

i don't know how to do math lol​

Answers

Answer:

your just asking the same question over and over again

Step-by-step explanation:

Three friends divide two bags of apples equally between them. Enter the division represented by this situation as a fraction.

Answers

Answer:

3/5

Step-by-step explanation:

Answer: I would say 3 divided by 2 or it would be 3/2.

Step-by-step explanation: Hit me up if i got it right:)

solve for a : 24a=8
simplify the answer as much as possible.

Answers

Answer:

a=1/3

Step-by-step explanation:

24a=8

Divide both sides by 24, and you will get a=8/24

Divide both the numerator and denominator by 4, and you will get 2/6, which is equivalent to 1/3.

Answer:

a = 1/3

Step-by-step explanation:

Divide both sides of the equation by the same term(24)

24a/24 and 8/24 = a = 1/3

Simplify
6
20
× [ 8
15
] ÷ [−3
10
]

Answers

Answer:

620 x 815 = 505300   50530 divided by {- 310}  = - 1630

Step-by-step explanation:

PLEASE HELP I GIVE BRAINLIESTTTTTT

Answers

Answer:

-0.9, -1/4, 3/5, 0.8

Answer:

Step-by-step explanation:

[tex]\dfrac{-1}{4}=-0.25\\\\\dfrac{3}{5}=0.6[/tex]

-0.25  ; 0.6 ; 0.8 ; -0.9

Negative numbers have least value.

Least to greatest:

-0.9 ; -0.25 , 0.6 , 0.8

-0.9 ; -1/4  ; 3/5 ; 0.8

Need help on this please, What is this number in standard form?

Answers

Answer:

24,800.07

Step-by-step explanation:

Find the value of arc s

Answers

Answer:

≈ 38.64 units

Step-by-step explanation:

The length of arc s is calculated as

circumference of circle × fraction of circle

The central angle subtended by arc s is 360° - 114° = 246° then

arc s = 2πr × [tex]\frac{246}{360}[/tex]

        = 2π × 9 × [tex]\frac{41}{60}[/tex]

        = 18π × [tex]\frac{41}{60}[/tex]

        ≈ 38.64 ( to 2 dec. places )

One side of a triangle is X another is X+3 and the third is 2X-1. If the perimeter is 66 inches what is the length of each piece

Answers

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Perimeter of a triangle is equal to the sum of measures of its three sides, that is :

[tex]x + x + 3 + 2x - 1 = 66[/tex]

[tex]4x + 2 = 66[/tex]

[tex]4x = 64[/tex]

[tex]x = 16[/tex]

so, the three sides are :

1st [tex]\rightarrow[/tex] x = 16 inches

2nd [tex]\rightarrow[/tex]x + 3 = 19 inches

3rd [tex]\rightarrow[/tex]2x - 1 = 31

Find the volume of a right circular cone that has a height of 10.6 m and a base with a
diameter of 18.5 m. Round your answer to the nearest tenth of a cubic meter.

Answers

The volume of a right circular cone that has a height of 10.6 m and a base with a diameter of 18.5 m is,

V = 949.76cm³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Height of cone = 10.6 m

Diameter of cone = 18.5 m

Hence, We can solve for radius as;

= 18.5/2

= 9.25

We know that;

Volume of a right circular cone is,

V = 1/3(πr²h)

Here, r = 9.25, h = 10.6, π = 3.14,

Hence, We get;

V = 1/3(3.14)(9.25)²(10.6)

V = 1/3(3.14)(85.5625)(10.6)

V = 1/3(2847.86225)

V = 949.287417

V = 949.76cm³

Thus, The volume of a right circular cone that has a height of 10.6 m and a base with a diameter of 18.5 m is,

V = 949.76cm³

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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Y=a|x-h|+k
11. how does the value of k affect the graph?
12. how does the value of h affect the graph?
13. how do the sign and absolute value of A affect the graph?

Answers

Step-by-step explanation:

Given the general form of the absolute value function, y = a|x - h| + k

11. How does the value of k affect the graph?

The value of k determines how far up or down the parent function is translated. If k is positive, the function is translated k units up.  If k is negative, the function is translated |k | units down.

12. How does the value of h affect the graph?

The value of h determines how far left or right the parent function is translated. If h is positive, the function is translated h units to the right.  If h is negative, the function is translated |h | units to the left.

13. How do the sign and absolute value of A affect the graph?

The value of a determines whether the graph opens up or down.

If a is positive, the graph opens up.If a is negative, the graph opens down.

The value of a also makes the parent function wider or narrower.

If 0 < a < 1, the graph is wider than the parent function.If a > 1, the graph is narrower than the parent function.

The pool cost $65 to rent for the afternoon. You were hoping to spend less
than that. Determine which of these activities cost less than renting the pool.
The water slide cost 1 1/2 times the cost of the pool.
The water park cost 5/6 as much as the pool.
The water rides cost 6/5 as much as the pool.
The water balloon rentals cost 1/6 as much as the pool.
Which of the activities costs less than renting the pool?

Answers

Answer:

The water park and The water balloon rentals

Step-by-step explanation:

PLEASE HELPOO MEEEEEEE

Answers

Answer:

(7 + 3) + 2 equals 10 + 2 which equals 12

7 + (3 + 2) equals 7 + 5 which equals 12

Step-by-step explanation:

Use what you learned about Pythagorean Theorem to find the height of the cylinder. Round to the nearest hundredth. (10 points)

Answers

Answer:

Step-by-step explanation:

Using the formula

c= the square root of a^2+b^2

Solving for a  

a=square root of c^2﹣b^2=

152﹣72 ≈ 13.2665

So rounded would be 13.27

-5(-3b - 2c)
show work if you want

Answers

Answer:

Two negatives equal a postive. So, 5*3 = 15b - (-5)*2 and that would equal 10c. Using the Distributive Property to multiply each side by -5.

Step-by-step explanation:

15b+10c is your answer.

Hope this helps! (:

the answer is 15b + 10c

Please help me out only if you know precal

Answers

Answer:

-4

Step-by-step explanation:

We are given the equation:-

[tex] \displaystyle \large{x + Cy = \frac{1}{4} }[/tex]

Since we wants to find the value of C that makes the line pass y-intercept which is -1/16.

When we talk about y-intercept, our x-value remains 0 and y-value remains any real number.

It can be expressed as (0,b) point where b is any real numbers.

What we have to do is to substitute (0,-1/16) or x = 0, y = -1/16 in the equation so we can find the value of C.

Thus:-

[tex] \displaystyle \large{x + Cy = \frac{1}{4} } \\ \displaystyle \large{0 + C( - \frac{1}{16} ) = \frac{1}{4} } \\ \displaystyle \large{ - \frac{ C}{16} = \frac{1}{4} }[/tex]

Multiply both sides by GCF.

[tex] \displaystyle \large{ - \frac{ C}{16} = \frac{1}{4} } \\ \displaystyle \large{ - \frac{ C}{16} (16)= \frac{1}{4} (16)} \\ \displaystyle \large{ - C= 4 } \\ \displaystyle \large{ C= - 4 }[/tex]

Therefore, C = -4

What is f(4) for the graph shown below?

Answers

Answer:

f(4)= 1

Step-by-step explanation:

f(x) = y

if x = 4 , y = 1

PLEASE HELP WORTH 10

C. How long it takes for the elevator to reach the ground floor

D. The change in the elevators height for every one additional second

Answers

D. The change in the elevators height for every one additional second

Pls help I’ll brainlest ASAP snd check

Answers

Answer:

answer is -1

sorry for bad handwriting

Here the answer step by step to

Evaluate the expression when e=13 and f=16.

4(19+e2)+3f

Enter your answer as a mixed number in simplest form

Answers

Answer:

1 7/18

Step-by-step explanation:

I Had Also Taken The Test And It Was 1 7/18 In Mixed Numbers.

The expression 4(19 + e2) + 3f at e = 13 and f = 16 is 804.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, we have to Evaluate the expression 4(19 + e2) + 3f when e = 13 and

f = 16 is the same as replacing the numerical values of e and f in the expression

4(19 + e2) + 3f which is,

= 4(19 + 13²) + 3×16.

= 4(19 + 169) + 48.

= 4(189) + 48.

= 756 + 48.

= 804.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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twice a number x increased by 10 is 52

Answers

Answer:

x = 21

Step-by-step explanation:

the equation is 2x + 10 = 52

2x = 42

x = 21



A witch travels 240 miles in 6 hours on her broom. At
this rate, how far could the witch travel in 36 hours?

Answers

Answer:

,exact answer not found

Step-by-step explanation:

36*240\6

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